Simulation Of compound Pendulum

A Compound Pendulum is a colllection of two or more bodies that oscillates about its mean position.Here,it is a dynamic analysis of a compound pendulum with the following configuration.

SETTING UP THE SIMULATION:

STEP 1: SETTING THE UNITS:

Set the units as per the requirements.

STEP 2: GRAVITY SETTINGS:

The Gravity Settings are done as per the simulation requirements.Here,it is set in negative Y direction indicating the gravity acts downward.

STEP 3: SETTING THE INITIAL POINTS -CONFIGURATION BUILDING

The points P0,P1 and P2 are set up through the coordinates w.r.to X,Y and Z axis respectively.

• The Point P0 at (0,0,0)

• The Point P1 at (-10,10,0)

• The Point P2 at (-24.142,-10,0)

STEP 4: BUILDING THE BODY AND ASSOCIATED GRAPHICS:

1. Create markers for the points and create bodies 1 and 2 at points 0 and 1.
2. Create cylinders cyl 0 and cyl 1 and associate the graphics with the bodies created.

• The Points and Bodies are created

• The creation and property of cylinder 0.Similarly,another cylinder link is created.

• The Configuration of Links for the given Compound Pendulum.

STEP 5: CREATING JOINTS AND APPLYING THE FORCES

The Joints are then created and the necessary force inputs are given to the system.

• The Joint J1 at P0.

• The Joint J0 at P1.

• Rotational force at P2.

STEP 6: OUTPUT DEFINITION:

Now,depending on requirements ,we need to define the ouputs that are required.

There are two outputs required in this simulation:

1.Finding the Trace of P2 when oscilated due to gravity.

2.Determining the reaction forces at the joint P0.

STEP 7: PLOT THE RESULTS:

The results are plotted then:

1.The Trace of P2:

2.The reaction forces of P0:

STEP 8: SIMULATE THE RESULT:

The Final output is simulated.